Are there any earbuds that can use both a wired and wireless connection?

I have an iPod Classic and iPhone. Obviously, the iPod classic doesn't support bluetooth or wireless. I have to use a wired headphone or earbuds to listen to music. On the other hand, the iPhone supports bluetooth and wireless connection.

Currently, I use my iPod to walk/jog and I use earbuds to listen to music.

Unfortunately, due to the movement of walking or jogging, often the earbuds come out of my ear which defeats the purpose.

I am looking for earbuds that I can convert between wire and wireless. So, when want to use my iPod Classic I can connect the earbuds and if I want to use my iPhone, I can use the same earbuds wirelessly.

No earbuds have that feature that I know off. It's either wired or wireless. Tons of over-ear wireless headphones have the capability to use wireless then plug it and then you can use wires. But those are over-the-ear and probably not comfortable for jogging.